The length of the support cable is about 29 feet.
If you sketch out the question, you will see that it will form a right triangle with the cable as the hypotenuse.
Just set up and use the Pythagorean Theorem.
15^2 + 25^2 = c^2
850 = c^2
29.15 = c
The equation of the line which has a gradient of 2 and passes through the point (1,4) is y = 2x + 2.
We have given that,
A line that has a gradient of 2 and passes through the line (1, 4).
We have to determine the equation of the line,
<h3>What is the gradient?</h3>
The gradient also known as the slope is the defined as
Gradient (m) = change in y coordinate / change in x coordinate
The equation of a line passing through a given point is given by the following equation
y – y₁ = m(x – x₁)
How to determine the equation of the line passing through point (1,4)
x coordinate (x₁) = 1
y coordinate (y₁) = 4
Gradient (m) = 2
Equation =
y – y₁ = m(x – x₁)
y – 4 = 2(x – 1)
Clear bracket
y – 4 = 2x – 2
Make y the subject by adding 4 to both sides
y – 4 + 4 = 2x – 2 + 4
y = 2x + 2
The equation of the line which has a gradient of 2 and passes through the point (1,4) is y = 2x + 2.
To learn more about the line visit:
brainly.com/question/5396646
#SPJ1
Answer:
About 20.8 minutes
Step-by-step explanation:
TO solve this just think of it as a ratio. The number of potatoes goes on top and the time goes on bottom.
48
__
10
That is what the first one would look like. In the second one we know the number of potatoes but we are trying to find the time (x).
100
___
x
Take these two ratios and set them equal to each other.
Next you cross multiply (take 48 times x and 100 times 10).
48x=1000 Now divide by 48 and you have your answer.
About 20.8 minutes
Answer: 3.5
Step-by-step explanation:
-16 + (-8) = -24
(-4) - 7 = -11
-24 - (-9) = -15
6.25 + (-8.50) = 2.25
10.8 - (6.4) = 4.4
-54.26 + (-15.42) = -69.68
F ur fractions
